construct/rlve integer linear system

construct/rlve integer linear system: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find integers x 0 , ..., x 2 satisfying all of the following 6 equations: 1 x 0 + 1 x 2 = 6 1 x 2 = 3 1 x 0 + 1 x 2 = 6 1 x 0 + 1 x 2 = 6 1 x 1 = 1 1 x 0 + 1 x 1 = 4